%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:50:41 PM UTC 2026
% Result : Theorem 0.14s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n002.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Mon Sep 21 08:46:49 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.11/0.56 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.59 fof(f42,lemma,(
% 0.14/0.59 (! [U,V,W] :( ( ~ check_cpq(triple(U,V,W))| ~ ok(triple(U,V,W)) )=> (! [X,Y,Z] :( succ_cpq(triple(U,V,W),triple(X,Y,Z))=> ( ~ ok(triple(X,Y,Z))| ~ check_cpq(triple(X,Y,Z)) ) ) )) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f43,conjecture,(
% 0.14/0.59 (! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> (! [X,Y,Z] :( succ_cpq(triple(U,V,W),triple(X,Y,Z))=> ( ~ ok(triple(X,Y,Z))| ~ check_cpq(triple(X,Y,Z)) ) ) )) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f44,negated_conjecture,(
% 0.14/0.59 ~((! [U,V,W] :( ~ check_cpq(triple(U,V,W))=> (! [X,Y,Z] :( succ_cpq(triple(U,V,W),triple(X,Y,Z))=> ( ~ ok(triple(X,Y,Z))| ~ check_cpq(triple(X,Y,Z)) ) ) )) ))),
% 0.14/0.59 inference(negated_conjecture,[status(cth)],[f43])).
% 0.14/0.59 fof(f145,plain,(
% 0.14/0.59 ![U,V,W]: ((check_cpq(triple(U,V,W))&ok(triple(U,V,W)))|(![X,Y,Z]: (~succ_cpq(triple(U,V,W),triple(X,Y,Z))|(~ok(triple(X,Y,Z))|~check_cpq(triple(X,Y,Z))))))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.59 fof(f146,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4,X5]: (check_cpq(triple(X0,X1,X2))|~succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))|~ok(triple(X3,X4,X5))|~check_cpq(triple(X3,X4,X5)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f145])).
% 0.14/0.59 fof(f148,plain,(
% 0.14/0.59 (?[U,V,W]: (~check_cpq(triple(U,V,W))&(?[X,Y,Z]: (succ_cpq(triple(U,V,W),triple(X,Y,Z))&(ok(triple(X,Y,Z))&check_cpq(triple(X,Y,Z)))))))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.14/0.59 fof(f149,plain,(
% 0.14/0.59 (~check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))&(succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl),triple(sK3_skl,sK4_skl,sK5_skl))&(ok(triple(sK3_skl,sK4_skl,sK5_skl))&check_cpq(triple(sK3_skl,sK4_skl,sK5_skl)))))),
% 0.14/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl),skolemize(X,sK3_skl),skolemize(Y,sK4_skl),skolemize(Z,sK5_skl)],[f148])).
% 0.14/0.59 fof(f150,plain,(
% 0.14/0.59 ~check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f149])).
% 0.14/0.59 fof(f151,plain,(
% 0.14/0.59 succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl),triple(sK3_skl,sK4_skl,sK5_skl))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f149])).
% 0.14/0.59 fof(f152,plain,(
% 0.14/0.59 ok(triple(sK3_skl,sK4_skl,sK5_skl))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f149])).
% 0.14/0.59 fof(f153,plain,(
% 0.14/0.59 check_cpq(triple(sK3_skl,sK4_skl,sK5_skl))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f149])).
% 0.14/0.59 fof(f157,plain,(
% 0.14/0.59 check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))|~ok(triple(sK3_skl,sK4_skl,sK5_skl))|~check_cpq(triple(sK3_skl,sK4_skl,sK5_skl))),
% 0.14/0.59 inference(resolution,[status(thm)],[f146,f151])).
% 0.14/0.59 fof(f159,definition,(
% 0.14/0.59 sQ0_spl <=> (check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f160,plain,(
% 0.14/0.59 check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))|~sQ0_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f159])).
% 0.14/0.59 fof(f162,definition,(
% 0.14/0.59 sQ1_spl <=> (ok(triple(sK3_skl,sK4_skl,sK5_skl)))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f164,plain,(
% 0.14/0.59 ~ok(triple(sK3_skl,sK4_skl,sK5_skl))|sQ1_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f162])).
% 0.14/0.59 fof(f165,definition,(
% 0.14/0.59 sQ2_spl <=> (check_cpq(triple(sK3_skl,sK4_skl,sK5_skl)))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f167,plain,(
% 0.14/0.59 ~check_cpq(triple(sK3_skl,sK4_skl,sK5_skl))|sQ2_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.59 fof(f168,plain,(
% 0.14/0.59 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f157,f159,f162,f165])).
% 0.14/0.59 fof(f169,plain,(
% 0.14/0.59 $false|sQ2_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f167,f153])).
% 0.14/0.59 fof(f170,plain,(
% 0.14/0.59 sQ2_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f169])).
% 0.14/0.59 fof(f171,plain,(
% 0.14/0.59 $false|~sQ0_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f160,f150])).
% 0.14/0.59 fof(f172,plain,(
% 0.14/0.59 ~sQ0_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f171])).
% 0.14/0.59 fof(f173,plain,(
% 0.14/0.59 $false|sQ1_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f164,f152])).
% 0.14/0.59 fof(f174,plain,(
% 0.14/0.59 sQ1_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f173])).
% 0.14/0.59 fof(f175,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(sat_refutation,[status(thm)],[f168,f170,f172,f174])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.057048 seconds
% 0.14/0.61 % CPU time: 0.154576 seconds
% 0.14/0.61 % Total memory used: 103.153 MB
% 0.14/0.61 % Net memory used: 103.112 MB
%------------------------------------------------------------------------------